111606648660 has 672 divisors, whose sum is σ = 422012021760. Its totient is φ = 24482082816.

The previous prime is 111606648617. The next prime is 111606648689. The reversal of 111606648660 is 66846606111.

It is a happy number.

111606648660 is a `hidden beast` number, since 1 + 1 + 160 + 6 + 6 + 486 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 61220509 + ... + 61222331.

It is an arithmetic number, because the mean of its divisors is an integer number (627994080).

Almost surely, 2^111606648660 is an apocalyptic number.

111606648660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111606648660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211006010880).

111606648660 is an abundant number, since it is smaller than the sum of its proper divisors (310405373100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111606648660 is a wasteful number, since it uses less digits than its factorization.

111606648660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 111606648660 in words is "one hundred eleven billion, six hundred six million, six hundred forty-eight thousand, six hundred sixty".